Obtain the simplified expressions in sum of products for the following Boolean functions (a) D (A' +B)+ B'(C+AD) (b ) ABD + A'CD' + A'B + ACD' + AB'D (c) KIm+k m ntklm'n'+lmn (d) A'B'CD' + ACD' + B'CD' + A'BCD + BCD (e) x z + wxy +w(x ytxy)

Draw the decoding circuit for each of the folowing Boolean expressions:

Unsimplified Boolean expression and truth table

Truth tables A full adder adds binary numbers and accounts for values carried in as well as out. A one-bit full-adder adds three one-bit numbers, often written as A, B, and Cin; A and B are the operands, and Cin is a bit carried in from the previous less-significant stage. Complete the full adder truth table using the AND, OR, XOR truth tables and the diagram. Truth Tables AND OR XOR A B AND A B OR A B XOR 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 0 0 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0   Full Adder Truth Table A B CIN G H I S COUT 0 0 0           0 0 1           0 1 0           0 1 1           1 0 0           1 0 1           1 1 0           1 1 1